Atkin-Lehner |
3- 5- 7- 101- |
Signs for the Atkin-Lehner involutions |
Class |
10605j |
Isogeny class |
Conductor |
10605 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
112466025 = 32 · 52 · 72 · 1012 |
Discriminant |
Eigenvalues |
1 3- 5- 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-178,-769] |
[a1,a2,a3,a4,a6] |
Generators |
[3155:11464:125] |
Generators of the group modulo torsion |
j |
618688004761/112466025 |
j-invariant |
L |
6.8666513228821 |
L(r)(E,1)/r! |
Ω |
1.3243063458813 |
Real period |
R |
5.1850928180159 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31815h2 53025c2 74235b2 |
Quadratic twists by: -3 5 -7 |